Question

Bala walked 25 km towards west, took a left turn and walked 15 km. He again took a left turn and walked 30 km. He then took a right turn and stopped. Now he was facing which direction?

• A. West
• B. East
• C. South
• D. North

Hint:

Keep a fixed compass: from West, a left turn points South; from South, a left turn points East; from East, a right turn points South. Writing the sequence of facings avoids coordinate confusion.

Answer 1

The Correct Option is C

Step 1: Track facing directions with each turn. 
Start moving \(\Rightarrow\) facing \(West\). 
Left turn from West \(\Rightarrow\) facing \(South\); walk 15 km. 
Left turn from South \(\Rightarrow\) facing \(East\); walk 30 km. 
Right turn from East \(\Rightarrow\) facing \(South\).

\[ \boxed{\text{Facing South}} \]

Answer 2

Let's use compass bearings (measured clockwise from North: North \(=0°\), East \(=90°\), South \(=180°\), West \(=270°\)) and treat a left turn as \(-90°\) and a right turn as \(+90°\), rather than naming each new direction by intuition.

1. Option West: This is Bala's very first direction of travel, before any turns — it can't also be his final facing after three turns, since each turn changes the bearing by \(90°\).
2. Option East: Starting bearing \(270°\); after the first left turn, \(270°-90°=180°\) (South); after the second left, \(180°-90°=90°\) (East, matching his second walk direction only, not the final one); after the final right turn, \(90°+90°=180°\), which is South, not East, so this can't be the final facing.
3. Option South: Tracking the bearing through all three turns: \(270°\ (\text{West}) \xrightarrow{-90°} 180°\ (\text{South}) \xrightarrow{-90°} 90°\ (\text{East}) \xrightarrow{+90°} 180°\ (\text{South})\). The final bearing of \(180°\) is South, matching this option.
4. Option North: A bearing of \(0°/360°\) would need a net rotation not produced by the sequence \(-90°,\,-90°,\,+90°=-90°\) applied to the starting \(270°\); the arithmetic above gives \(180°\), not \(0°\), so North is not reached.

The bearing arithmetic confirms a final direction of South.

Hence, the correct answer is South.